• Corpus ID: 166228759

Grothendieck's Dessins d'Enfants in a Web of Dualities. II

  title={Grothendieck's Dessins d'Enfants in a Web of Dualities. II},
  author={Jian Zhou},
  journal={arXiv: Mathematical Physics},
  • Jian Zhou
  • Published 26 May 2019
  • Mathematics
  • arXiv: Mathematical Physics
We show that the spectral curve for Eynard-Orantin topological recursions satisfied by counting Grothendieck's dessins d'enfants are related to Narayana numbers. This suggests a connection of dessins to combinatorics of Coxeter groups, noncrossing partitions, free probability theory, and cluster algebras. 

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